Information on Result #3146730
There is no digital (78, 236, 246)-net over F3, because 2 times m-reduction would yield digital (78, 234, 246)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3234, 246, F3, 156) (dual of [246, 12, 157]-code), but
- residual code [i] would yield OA(378, 89, S3, 52), but
- the linear programming bound shows that M ≥ 298 630446 198644 459587 118144 486403 305957 001183 / 16 135903 > 378 [i]
- residual code [i] would yield OA(378, 89, S3, 52), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.